Bibliography

Major publications by the team in recent years

• 1J. W. Demmel, L. Grigori, M. Hoemmen, J. Langou.
  
  Communication-optimal parallel and sequential QR and LU factorizations, in: SIAM Journal on Scientific Computing, 2012, n^o 1, pp. 206-239, short version of technical report UCB/EECS-2008-89 from 2008.
• 2V. Dolean, P. Jolivet, F. Nataf.
  
  An Introduction to Domain Decomposition Methods: algorithms, theory and parallel implementation, SIAM, 2015.
• 3L. Grigori, S. Cayrols, J. W. Demmel.
  
  Low rank approximation of a sparse matrix based on LU factorization with column and row tournament pivoting, in: SIAM Journal on Scientific Computing, 2018, In press.
• 4L. Grigori, J. Demmel, H. Xiang.
  
  CALU: a communication optimal LU factorization algorithm, in: SIAM Journal on Matrix Analysis and Applications, 2011, vol. 32, pp. 1317-1350.
• 5L. Grigori, S. Moufawad, F. Nataf.
  
  Enlarged Krylov Subspace Conjugate Gradient methods for Reducing Communication, in: SIAM Journal on Matrix Analysis and Applications, 2016, vol. 37, n^o 2, pp. 744-773.
• 6R. Haferssas, P. Jolivet, F. Nataf.
  
  An Additive Schwarz Method Type Theory for Lions's Algorithm and a Symmetrized Optimized Restricted Additive Schwarz Method, in: SIAM J. Sci. Comput., 2017, vol. 39, n^o 4, pp. A1345–A1365.
  
  http://dx.doi.org/10.1137/16M1060066
• 7F. Hecht.
  
  New development in FreeFem++, in: J. Numer. Math., 2012, vol. 20, n^o 3-4, pp. 251–265.
• 8P. Jolivet, F. Nataf.
  
  HPDDM: High-Performance Unified framework for Domain Decomposition methods, MPI-C++ library, 2014, https://github.com/hpddm/hpddm.
• 9N. Spillane, V. Dolean, P. Hauret, F. Nataf, C. Pechstein, R. Scheichl.
  
  Abstract robust coarse spaces for systems of PDEs via generalized eigenproblems in the overlaps, in: Numer. Math., 2014, vol. 126, n^o 4, pp. 741–770.
  
  http://dx.doi.org/10.1007/s00211-013-0576-y

Publications of the year

Articles in International Peer-Reviewed Journals

• 10M. Bonazzoli, V. Dolean, F. Rapetti, P.-H. Tournier.
  
  Parallel preconditioners for high order discretizations arising from full system modeling for brain microwave imaging, in: International Journal of Numerical Modelling: Electronic Networks, Devices and Fields, 2017. [ DOI : 10.1002/jnm.2229 ]
  
  https://hal.archives-ouvertes.fr/hal-01328197
• 11L. A. Chesnel, X. Claeys, S. A. Nazarov.
  
  Small obstacle asymptotics for a 2D semi-linear convex problem, in: Applicable Analysis, February 2017, 20 p. [ DOI : 10.1080/00036811.2017.1295449 ]
  
  https://hal.archives-ouvertes.fr/hal-01427617
• 12X. Claeys, R. Hiptmair, E. Spindler.
  
  Second-kind boundary integral equations for electromagnetic scattering at composite objects, in: Computers & Mathematics with Applications, December 2017, vol. 74, n^o 11, pp. 2650 - 2670. [ DOI : 10.1016/j.camwa.2017.08.014 ]
  
  https://hal.inria.fr/hal-01671147
• 13X. E. Claeys, R. E. Hiptmair, E. E. Spindler.
  
  Second Kind Boundary Integral Equation for Multi-Subdomain Diffusion Problems, in: Advances in Computational Mathematics, October 2017, vol. 43, n^o 5, 26 p.
  
  https://hal.archives-ouvertes.fr/hal-01427625
• 14M. J. Grote, M. Kray, F. Nataf, F. Assous.
  
  Time-dependent wave splitting and source separation, in: Journal of Computational Physics, 2017, vol. 330, pp. 981–996.
  
  https://hal.archives-ouvertes.fr/hal-01216117
• 15R. Haferssas, P. Jolivet, F. Nataf.
  
  An Additive Schwarz Method Type Theory for Lions's Algorithm and a Symmetrized Optimized Restricted Additive Schwarz Method, in: SIAM Journal on Scientific Computing, February 2017, vol. 39, n^o 4, pp. A1345 - A1365. [ DOI : 10.1137/16M1060066 ]
  
  https://hal.archives-ouvertes.fr/hal-01278347
• 16P.-H. Tournier, M. Bonazzoli, V. Dolean, F. Rapetti, F. Hecht, F. Nataf, I. Aliferis, I. El Kanfoud, C. Migliaccio, M. De Buhan, M. Darbas, S. Semenov, C. Pichot.
  
  Numerical Modeling and High-Speed Parallel Computing: New Perspectives on Tomographic Microwave Imaging for Brain Stroke Detection and Monitoring, in: IEEE Antennas and Propagation Magazine, October 2017, vol. 59, n^o 5, pp. 98 - 110. [ DOI : 10.1109/MAP.2017.2731199 ]
  
  https://hal.archives-ouvertes.fr/hal-01623106
• 17M. Čermák, F. Hecht, Z. Tang, M. Vohralík.
  
  Adaptive inexact iterative algorithms based on polynomial-degree-robust a posteriori estimates for the Stokes problem, in: Numerische Mathematik, November 2017. [ DOI : 10.1007/s00211-017-0925-3 ]
  
  https://hal.inria.fr/hal-01097662

Scientific Books (or Scientific Book chapters)

• 18L. Grigori.
  
  Introduction to Communication Avoiding Algorithms for Direct Methods of Factorization in Linear Algebra, in: SEMA SIMAI Springer Series, M. Mateos, P. Alonso (editors), Computational Mathematics, Numerical Analysis and Applications, Springer, 2017, vol. 13, pp. 153-185. [ DOI : 10.1007/978-3-319-49631-3_4 ]
  
  https://hal.inria.fr/hal-01669315

Internal Reports

• 19H. Al Daas, L. Grigori, P. Hénon, P. Ricoux.
  
  Enlarged GMRES for reducing communication, Inria Paris, March 2017, n^o RR-9049.
  
  https://hal.inria.fr/hal-01497943
• 20L. Grigori, O. Tissot.
  
  Reducing the communication and computational costs of Enlarged Krylov subspaces Conjugate Gradient, Inria Paris, February 2017, n^o RR-9023.
  
  https://hal.inria.fr/hal-01451199

Other Publications

• 21S. Becker, J. Folberth, L. Grigori.
  
  URV Factorization with Random Orthogonal System Mixing, 2017, working paper or preprint.
  
  https://hal.inria.fr/hal-01669915
• 22I. Ben Gharbia, M. Bonazzoli, X. Claeys, P. Marchand, P.-H. Tournier.
  
  Fast solution of boundary integral equations for elasticity around a crack network: a comparative study, November 2017, working paper or preprint.
  
  https://hal.inria.fr/hal-01644518
• 23M. Bonazzoli, V. Dolean, I. G. Graham, E. A. Spence, P.-H. Tournier.
  
  A two-level domain-decomposition preconditioner for the time-harmonic Maxwell's equations, November 2017, working paper or preprint.
  
  https://hal.archives-ouvertes.fr/hal-01525438
• 24M. Bonazzoli, V. Dolean, I. G. Graham, E. A. Spence, P.-H. Tournier.
  
  Domain decomposition preconditioning for the high-frequency time-harmonic Maxwell equations with absorption, November 2017, working paper or preprint.
  
  https://hal.archives-ouvertes.fr/hal-01644011
• 25M. Bonazzoli, V. Dolean, I. G. Graham, E. A. Spence, P.-H. Tournier.
  
  Two-level preconditioners for the Helmholtz equation, November 2017, working paper or preprint.
  
  https://hal.archives-ouvertes.fr/hal-01525424
• 26M. Bonazzoli, V. Dolean, F. Hecht, F. Rapetti.
  
  An example of explicit implementation strategy and preconditioning for the high order edge finite elements applied to the time-harmonic Maxwell's equations, November 2017, working paper or preprint.
  
  https://hal.archives-ouvertes.fr/hal-01298938
• 27M. †. Haddad † ‡, T. Sayah, P.-H. Tournier, F. Hecht.
  
  Parallel Computing Investigations for the Projection Method Applied to the Interface Transport Scheme of a Two-phase Flow by the Method of Characteristics, February 2017, working paper or preprint.
  
  https://hal.archives-ouvertes.fr/hal-01470551
• 28F. Nataf.
  
  Mathematical Analysis of Robustness of Two-Level Domain Decomposition Methods with respect to Approximate Coarse Solves, November 2017, working paper or preprint.
  
  https://hal.archives-ouvertes.fr/hal-01573197
• 29J. Papež, U. Rüde, M. Vohralík, B. Wohlmuth.
  
  Sharp algebraic and total a posteriori error bounds for $h$ and $p$ finite elements via a multilevel approach, December 2017, working paper or preprint.
  
  https://hal.inria.fr/hal-01662944

References in notes

• 30M. Blatt, A. Burchardt, A. Dedner, C. Engwer, J. Fahlke, B. Flemisch, C. Gersbacher, C. Gräser, F. Gruber, C. Grüninger.
  
  The distributed and unified numerics environment, version 2.4, in: Archive of Numerical Software, 2016, vol. 4, n^o 100, pp. 13–29.
• 31C. Prud'homme.
  
  A Domain Specific Embedded Language in C++ for automatic differentiation, projection, integration and variational formulations, in: Scientific Programming, 2006, vol. 14, n^o 2, pp. 81–110.